Endomorphisms of cell 2-representations
arXiv:1207.6236
Abstract
We determine the endomorphism categories of cell 2-representations of fiat 2-categories associated with strongly regular two-sided cells under some natural assumptions. Along the way, we completely describe J-simple fiat 2-categories which have only one two-sided cell J apart from the identities, under the same conditions as above. For positively graded 2-categories, we show that the additional restrictions are redundant.
Corrections to the published version: The main result and its consequences are only valid under some additional assumption. Both these additional assumptions and the corrected proof of the main result are collected in the new last section